In the Triangle ABD, Using Pythagoras theorem we can write

In the Triangle ACD using Pythagoras Theorem

Now in the larger Triangle ABC, we can write

Now substitute the values from the above equations we get

Answer:

Step-by-step explanation:
we are given a inverse trig
we want to figure out the value of
in that case we can consider using unit circle in unit circle the value of arctan (-√3)=120°
therefore,
the value of theta is 120°
likewise by unit circle the value of sine is

Answer:
He will earn 367 dollars and 50 cent in interest
Step-by-step explanation: